Robust exponential stabilization of stochastic coupled T-S fuzzy complex networks subject to state-dependent impulsive control

The problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller is investigated in the paper. Using B-equivalence approach, some sufficient conditions are provided such that every solution of considered systems intersects each impulsive surface exactly once. Then, combining with the inequality technique and comparison principle, some meaningful sufficient criteria are obtained to ensure the mean square stability of T-S fuzzy stochastic dynamical networks. Compared to related results, the results obtained in the paper are low conservatism and easy to verify. Finally, two numerical simulations based on Ro$$ \ddot{o} $$ssler's system and Lorenz system show the effectiveness of the obtained theoretical results.

Automated summary

The paper investigates the problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller. Some sufficient conditions are provided using B-equivalence approach such that every solution of considered systems intersects each impulsive surface exactly once. Then, meaningful sufficient criteria are obtained combining with the inequality technique and comparison principle to ensure the mean square stability of T-S fuzzy stochastic dynamical networks. The obtained results in the paper are less conservative and easy to verify compared to related results. Finally, two numerical simulations based on Ro$$ \ddot{o} $$ssler's system and Lorenz system demonstrate the effectiveness of the obtained theoretical results.